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343113031134 = 233192234613253
BaseRepresentation
bin1001111111000110010…
…00010101110111011110
31012210122010200221011000
410333203020111313132
521110143413444014
6421342435011130
733534442433556
oct4774310256736
91183563627130
10343113031134
111225713a7745
12565b7a39aa6
1326480b1c613
141286cd3a166
158dd2615509
hex4fe3215dde

343113031134 has 128 divisors (see below), whose sum is σ = 808199884800. Its totient is φ = 107598533760.

The previous prime is 343113031087. The next prime is 343113031159. The reversal of 343113031134 is 431130311343.

343113031134 is a `hidden beast` number, since 3 + 4 + 311 + 3 + 0 + 311 + 34 = 666.

It is a super-2 number, since 2×3431130311342 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 343113031098 and 343113031107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 105474252 + ... + 105477504.

It is an arithmetic number, because the mean of its divisors is an integer number (6314061600).

Almost surely, 2343113031134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 343113031134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404099942400).

343113031134 is an abundant number, since it is smaller than the sum of its proper divisors (465086853666).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

343113031134 is a wasteful number, since it uses less digits than its factorization.

343113031134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3967 (or 3961 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 343113031134 its reverse (431130311343), we get a palindrome (774243342477).

The spelling of 343113031134 in words is "three hundred forty-three billion, one hundred thirteen million, thirty-one thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 223 342 446 461 513 669 922 1026 1338 1383 2007 2766 3253 4014 4149 4237 6021 6506 8298 8474 8759 9759 12042 12447 12711 17518 19518 24894 25422 26277 29277 38133 52554 58554 61807 76266 78831 87831 102803 114399 123614 157662 175662 185421 205606 228798 236493 308409 370842 472986 556263 616818 725419 925227 1112526 1450838 1499633 1668789 1850454 1953257 2176257 2775681 2999266 3337578 3906514 4352514 4498899 5551362 5859771 6528771 8997798 11719542 13057542 13496697 13782961 17579313 19586313 26993394 27565922 28493027 35158626 39172626 40490091 41348883 52737939 56986054 80980182 82697766 85479081 105475878 124046649 170958162 248093298 256437243 334418159 372139947 512874486 668836318 744279894 769311729 1003254477 1538623458 2006508954 3009763431 6019526862 6353945021 9029290293 12707890042 18058580586 19061835063 38123670126 57185505189 114371010378 171556515567 343113031134